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Boundary stabilization of a one-dimensional wave equation by a switching time-delay: a theoretical and numerical study
Published 5 Jul 2020 in math.AP, cs.NA, and math.NA | (2007.12599v1)
Abstract: This paper deals with the boundary stabilization problem of a one-dimensional wave equation with a switching time-delay in the boundary. We show that the problem is well-posed in the sense of semigroups theory of linear operators. Then, we provide a theoretical and numerical study of the exponential stability of the system under an appropriate delay coefficient.
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